Round edged-curved mesh from CAD-Program
You can smooth the model by going to Mesh -> shade smooth in Object mode or selecting faces in Edit mode and choosing Face -> shade smooth.

However, as others have pointed out, you seem to have some redundant edges (edges that do not change the shape of the model). Even if they change the shape slightly, it is not noticeable. You can remove every other edge by selecting the edge ring (select an edge, hold CTRL + ALT, and select a parallel edge) and choosing Select
 -> Checker Deselect. I think which edges are deselected is based on the active edge (the last edge you select), so if you would prefer the compliment edges were deselected, undo and shift-select any edge in the edge ring you want to be deselected before running it again. When you have the edges you want to delete selected...delete them.

Fun fact: changing the settings for Checker Deselect will allow you to deselect every Nth edge, N being whatever number you like; third edge, fourth edge, etc.